Question

A rectangular flour canister has dimensions of 512 inches by 4 inches by 10 inches. A smaller sugar canister has dimensions of 312 inches by 3 inches by 8 inches. How much smaller is the volume of the sugar canister than the flour canister?

Answer 1

Answer:

The amount by which the sugar canister is smaller than the flour canister is 136 in³

Step-by-step explanation:

The dimensions of the flour canister = 5 and 1/2 inches by 4 inches by 10 inches

(5 and 1/2 = (5 1/2))

(3 and 1/2 = (3 1/2))

The dimensions of the smaller sugar canister = 3 and 1/2 inches by 3 inches by 8 inches

The volume of the rectangular prism = Length × Width × Height

∴ The volume of the flour canister = (5 1/2) × 4× 10 = 220 in.³

The volume of the sugar canister = (3 1/2) × 3 × 8= 84 in.³

The difference in volume between the flour canister and the sugar canister is given as follows;

220 in.³ - 84 in.³ = 136 in.³

The amount by which the sugar canister is smaller than the flour canister = 136 in.³.